Question

Which inequality explains why these three segments cannot be used to construct a triangle? EF + FD > DE ED + EF < DF ED + EF > DF EF + FD < DE

Answer 1

ΔThe Answer is B).ED + EF < DFΔ

Answer 2

we know that

The Triangle Inequality Theorem states that the sum of any $2$ sides of a triangle must be greater than the measure of the third side

in this problem

we have the segments EF, FD and DE

to construct a triangle three inequalities must be met

case 1)

$EF+FD > DE$

case 2)

$FD+DE > EF$

case 3)

$EF+DE > FD$

therefore

the answer is

ED + EF < DF

EF + FD < DE